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Finding the Fourth Proportional to 4,564.32, 6,841.98 and 1,789.26

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Solution

The fourth proportional to 4,564.32, 6,841.98 and 1,789.26 is: 2,682.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.32 : 6,841.98 = 1,789.26 : x
  2. Step 2: Convert to fraction form
    4,564.32/6,841.98 = 1,789.26/x
  3. Step 3: Cross multiply
    4,564.32x = 6,841.98 × 1,789.26
  4. Step 4: Simplify right side
    4,564.32x = 12,242,081.13
  5. Step 5: Solve for x
    x = 12,242,081.13/4,564.32
  6. Step 6: Final answer
    x = 2,682.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.